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Veseljchak [2.6K]
3 years ago
14

A survey is being conducted in a city with 1 million residents. It would be far too

Mathematics
1 answer:
Irina18 [472]3 years ago
7 0

Answer: Find answers in the attached documents

Step-by-step explanation:

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Katie works part-time at a Fallbrook riding stable she makes $5 an hour for exercising horses and $10 an hour for cleaning stall
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In order to at least earn $90, Katie can work exercising horses for 6 hours and cleaning stalls for 6 hours.

Step-by-step explanation:

Let hours of exercising horses be x --> $5 per hour = 5x

Let hours of cleaning stalls be y --> $10 per hour = 10y

Total earning = \geq 90

Total hours = 12

<u>Equation 1:</u>

5x + 10y = \geq 90

<u>Equation 2:</u>

x + y \leq 12

<em>1. Multiply equation 2 by -5</em>

x + y \leq 12 (*-5)

5x + 10y = \geq 90

-5x - 5y \leq -60

5x + 10y = \geq 90

<em>2. Solve</em>

-5x + 5x -5y + 10y = -60 + 90

5y = 30

y = 6

x + y = 12

x + 6 = 12

x = 6

Therefore, in order to at least earn $90, Katie can work exercising horses for 6 hours and cleaning stalls for 6 hours.

Keywords: Simultaneous, hours, equations

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  • brainly.com/question/1284310
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Four loan balances are $6,500, $3,600, $5,400, and $7,500, respectively. The current interest rates for the loans are 7%, 5%, 6%
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C. g(x) = -|x|

Step-by-step explanation:

|x| is an upwards v centered at the origin

- |x| is a downwards v centered at the origin

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